Sentence examples for the expected approximation from inspiring English sources

which provides the expected approximation.

We present (randomized) truthful mechanisms for both the centralized and the distributed settings that improve the (expected) approximation guarantee (price of anarchy) of the SPT mechanism.

In this section, we are going to deduce the expected approximation ratio of our algorithm.

In Section 'Expected approximation ratio ratio' we deduce the expected approximation ratio.

This table illustrates the expected approximation ratio for different values of n.

The expected approximation ratio tends to reach 1 for large values of n.

This is the final expected approximation ratio.

Hence we get the following expected approximation ratio: B Ex B ≥ 2 n 2 - 2 × (2 n log n + 3 n 8 log n - log n 2 n ) 2 n × (n - 1 ) ⇒ B Ex B ≥ n - 2 log n - 3 8 log n + log n 2 n 2 n - 1 As the term log n 2 n 2 is very small we can ignore it from the final result.

The randomized version of the approximation algorithm gives new best expected approximation ratios for ConFL (4.00), RoB (2.92) and k-ConFL (6.85).

Note that ranPool is known to give an expected approximation factor of 1−1/ n for the max n-cut problem.

In this paper, we show the existence of randomized truthful (non-polynomial-time) algorithms with an expected approximation ratio equal to 3/2 for different scheduling settings (identical machines with and without release dates and unrelated machines) and models of execution (strong or weak).